{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "plt.rcParams[\"font.sans-serif\"] = [\"SimHei\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib as mpl"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def scatter_with_cmap(cmap):\n",
    "    x = np.arange(1,13,1)\n",
    "    y = np.random.randint(1,16,size=12)\n",
    "    labels = [\"Python\",\"Java\",\"C++\",\"C\",\"SQL\",\"JS\",\"Go\",\"HTML\",\"R\",\"C#\",\"CSS\",\"TypeScript\"]\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,5),dpi=100)\n",
    "    ax =  fig.add_subplot(1,1,1)\n",
    "    ax.xaxis.set_ticks(x)\n",
    "    ax.xaxis.set_ticklabels(labels,family=\"fantasy\")\n",
    "    ax.set_title(\"团队熟悉某语言的开发者数量分布\")\n",
    "    \n",
    "    dot = ax.scatter(x,y,s=500,c=y,cmap=cmap)\n",
    "    fig.colorbar(dot,ax=ax)\n",
    "\n",
    "# 选择一种内置颜色映射“cool”\n",
    "cool = mpl.cm.Reds\n",
    "scatter_with_cmap(cool)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from matplotlib.colors import ListedColormap, LinearSegmentedColormap"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def scatter_with_cmap(cmap):\n",
    "    x = np.arange(1,13,1)\n",
    "    y = np.random.randint(1,16,size=12)\n",
    "    labels = [\"Python\",\"Java\",\"C++\",\"C\",\"SQL\",\"JS\",\"Go\",\"HTML\",\"R\",\"C#\",\"CSS\",\"TypeScript\"]\n",
    "    \n",
    "    fig = plt.figure(figsize=(10,5),dpi=100)\n",
    "    ax =  fig.add_subplot(1,1,1)\n",
    "    ax.xaxis.set_ticks(x)\n",
    "    ax.xaxis.set_ticklabels(labels,family=\"fantasy\")\n",
    "    ax.set_title(\"团队熟悉某语言的开发者数量分布\")\n",
    "    \n",
    "    dot = ax.scatter(x,y,s=500,c=y,cmap=cmap)\n",
    "    fig.colorbar(dot,ax=ax)\n",
    "\n",
    "# 选择一种内置颜色映射“cool”\n",
    "cool = mpl.cm.cool\n",
    "# 选取cool百分之20至百分之80之间的区域来映射，选取了中间256个点\n",
    "cmap = ListedColormap(cool(np.linspace(0.2,0.8,4)))\n",
    "scatter_with_cmap(cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 自对应划分每块渐变颜色区域的大小\n",
    "colors = [\"red\",\"blue\",\"green\",\"orange\"]\n",
    "nodes = [0.0,0.2,0.4,1.0]\n",
    "# cmap = LinearSegmentedColormap.from_list(\"mycmap\",colors)\n",
    "cmap = LinearSegmentedColormap.from_list(\"mycmap\",list(zip(nodes,colors)),N=12)\n",
    "cmap.set_gamma(1)\n",
    "cmap = cmap.reversed()\n",
    "scatter_with_cmap(cmap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
